which figure shows a reflection of figure t across the x - axis? figure u figure v figure w
which figure shows a reflection of figure t across the x - axis? figure u figure v figure w
Answer
Explanation:
Step1: Recall reflection rule
When reflecting a point ((x,y)) across the (x -)axis, the rule is ((x,y)\to(x, - y)). This means the (x -)coordinate remains the same and the (y -)coordinate changes its sign.
Step2: Analyze the figures
- For Figure (U): It is a reflection across the (y -)axis (since ((x,y)\to(-x,y))).
- For Figure (V): If we consider the vertical position of the points of Figure (T) and Figure (V), for each point ((x,y)) in Figure (T), the corresponding point in Figure (V) has the same (x) - coordinate and (y) - coordinate with the opposite sign. For example, if a point in (T) is ((- 3,3)), a corresponding point in (V) is ((-3,-3)).
- For Figure (W): It has both (x) and (y) coordinates changed in a non - reflection - across - (x) - axis way.
Answer:
Figure (V)